TSTP Solution File: COM003_1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : COM003_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 04:58:52 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 43
% Syntax : Number of formulae : 137 ( 7 unt; 20 typ; 0 def)
% Number of atoms : 418 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 542 ( 241 ~; 215 |; 40 &)
% ( 18 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 16 ( 10 >; 6 *; 0 +; 0 <<)
% Number of predicates : 23 ( 22 usr; 19 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-1 aty)
% Number of variables : 174 ( 151 !; 23 ?; 174 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
program: $tType ).
tff(type_def_6,type,
algorithm: $tType ).
tff(type_def_7,type,
input: $tType ).
tff(type_def_8,type,
output: $tType ).
tff(func_def_0,type,
bad: output ).
tff(func_def_1,type,
good: output ).
tff(func_def_2,type,
algorithm_of: program > algorithm ).
tff(func_def_3,type,
as_input: program > input ).
tff(func_def_4,type,
sK0: algorithm ).
tff(func_def_5,type,
sK1: program ).
tff(func_def_6,type,
sK2: program > program ).
tff(func_def_7,type,
sK3: program ).
tff(func_def_8,type,
sK4: program > program ).
tff(func_def_9,type,
sK5: program ).
tff(func_def_10,type,
sK6: algorithm > program ).
tff(func_def_11,type,
sK7: algorithm > input ).
tff(pred_def_1,type,
decides: ( algorithm * program * input ) > $o ).
tff(pred_def_2,type,
halts2: ( program * input ) > $o ).
tff(pred_def_3,type,
halts3: ( program * program * input ) > $o ).
tff(pred_def_4,type,
outputs: ( program * output ) > $o ).
tff(f199,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f54,f72,f74,f93,f94,f108,f109,f110,f119,f126,f133,f136,f143,f145,f157,f160,f167,f171,f180,f189,f198]) ).
tff(f198,plain,
( ~ spl8_1
| ~ spl8_7 ),
inference(avatar_contradiction_clause,[],[f197]) ).
tff(f197,plain,
( $false
| ~ spl8_1
| ~ spl8_7 ),
inference(subsumption_resolution,[],[f196,f46]) ).
tff(f46,plain,
( ! [X3: program] :
( ~ halts2(sK1,as_input(X3))
| ~ halts2(X3,as_input(X3)) )
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f45]) ).
tff(f45,plain,
( spl8_1
<=> ! [X3: program] :
( ~ halts2(X3,as_input(X3))
| ~ halts2(sK1,as_input(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
tff(f196,plain,
( halts2(sK1,as_input(sK1))
| ~ spl8_7 ),
inference(factoring,[],[f69]) ).
tff(f69,plain,
( ! [X3: program] :
( halts2(X3,as_input(X3))
| halts2(sK1,as_input(X3)) )
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f68]) ).
tff(f68,plain,
( spl8_7
<=> ! [X3: program] :
( halts2(X3,as_input(X3))
| halts2(sK1,as_input(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
tff(f189,plain,
( ~ spl8_2
| ~ spl8_6
| ~ spl8_8
| ~ spl8_11
| ~ spl8_15 ),
inference(avatar_contradiction_clause,[],[f188]) ).
tff(f188,plain,
( $false
| ~ spl8_2
| ~ spl8_6
| ~ spl8_8
| ~ spl8_11
| ~ spl8_15 ),
inference(subsumption_resolution,[],[f187,f78]) ).
tff(f78,plain,
( outputs(sK3,good)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f76]) ).
tff(f76,plain,
( spl8_8
<=> outputs(sK3,good) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
tff(f187,plain,
( ~ outputs(sK3,good)
| ~ spl8_2
| ~ spl8_6
| ~ spl8_11
| ~ spl8_15 ),
inference(resolution,[],[f181,f174]) ).
tff(f174,plain,
( ! [X3: program] : halts2(sK3,as_input(X3))
| ~ spl8_11
| ~ spl8_15 ),
inference(subsumption_resolution,[],[f88,f107]) ).
tff(f107,plain,
( ! [X3: program] :
( halts2(X3,as_input(X3))
| halts2(sK3,as_input(X3)) )
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f106]) ).
tff(f106,plain,
( spl8_15
<=> ! [X3: program] :
( halts2(X3,as_input(X3))
| halts2(sK3,as_input(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
tff(f88,plain,
( ! [X3: program] :
( ~ halts2(X3,as_input(X3))
| halts2(sK3,as_input(X3)) )
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f87,plain,
( spl8_11
<=> ! [X3: program] :
( ~ halts2(X3,as_input(X3))
| halts2(sK3,as_input(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
tff(f181,plain,
( ! [X0: program] :
( ~ halts2(X0,as_input(sK2(X0)))
| ~ outputs(X0,good) )
| ~ spl8_2
| ~ spl8_6 ),
inference(resolution,[],[f65,f49]) ).
tff(f49,plain,
( ! [X0: program] :
( ~ halts2(sK2(X0),as_input(sK2(X0)))
| ~ halts2(X0,as_input(sK2(X0)))
| ~ outputs(X0,good) )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f48,plain,
( spl8_2
<=> ! [X0: program] :
( ~ halts2(X0,as_input(sK2(X0)))
| ~ halts2(sK2(X0),as_input(sK2(X0)))
| ~ outputs(X0,good) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
tff(f65,plain,
( ! [X3: program] : halts2(X3,as_input(X3))
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f64]) ).
tff(f64,plain,
( spl8_6
<=> ! [X3: program] : halts2(X3,as_input(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
tff(f180,plain,
( ~ spl8_14
| ~ spl8_3
| ~ spl8_8
| ~ spl8_11
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f179,f106,f87,f76,f52,f101]) ).
tff(f101,plain,
( spl8_14
<=> outputs(sK3,bad) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
tff(f52,plain,
( spl8_3
<=> ! [X0: program] :
( ~ outputs(X0,good)
| ~ outputs(X0,bad)
| ~ halts2(X0,as_input(sK2(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
tff(f179,plain,
( ~ outputs(sK3,bad)
| ~ spl8_3
| ~ spl8_8
| ~ spl8_11
| ~ spl8_15 ),
inference(subsumption_resolution,[],[f175,f78]) ).
tff(f175,plain,
( ~ outputs(sK3,bad)
| ~ outputs(sK3,good)
| ~ spl8_3
| ~ spl8_11
| ~ spl8_15 ),
inference(resolution,[],[f174,f53]) ).
tff(f53,plain,
( ! [X0: program] :
( ~ halts2(X0,as_input(sK2(X0)))
| ~ outputs(X0,bad)
| ~ outputs(X0,good) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f52]) ).
tff(f171,plain,
( ~ spl8_9
| ~ spl8_15 ),
inference(avatar_contradiction_clause,[],[f170]) ).
tff(f170,plain,
( $false
| ~ spl8_9
| ~ spl8_15 ),
inference(resolution,[],[f168,f81]) ).
tff(f81,plain,
( ! [X3: program] : ~ halts2(X3,as_input(X3))
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f80]) ).
tff(f80,plain,
( spl8_9
<=> ! [X3: program] : ~ halts2(X3,as_input(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
tff(f168,plain,
( ! [X3: program] : halts2(sK3,as_input(X3))
| ~ spl8_9
| ~ spl8_15 ),
inference(subsumption_resolution,[],[f107,f81]) ).
tff(f167,plain,
( ~ spl8_12
| ~ spl8_16
| ~ spl8_19
| ~ spl8_21 ),
inference(avatar_contradiction_clause,[],[f166]) ).
tff(f166,plain,
( $false
| ~ spl8_12
| ~ spl8_16
| ~ spl8_19
| ~ spl8_21 ),
inference(subsumption_resolution,[],[f165,f150]) ).
tff(f150,plain,
( ~ outputs(sK5,good)
| ~ spl8_12
| ~ spl8_16
| ~ spl8_21 ),
inference(subsumption_resolution,[],[f149,f146]) ).
tff(f146,plain,
( outputs(sK5,bad)
| ~ spl8_16
| ~ spl8_21 ),
inference(resolution,[],[f132,f115]) ).
tff(f115,plain,
( ! [X4: program,X5: input] : decides(algorithm_of(sK5),X4,X5)
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f114,plain,
( spl8_16
<=> ! [X4: program,X5: input] : decides(algorithm_of(sK5),X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
tff(f132,plain,
( ! [X2: input,X0: program,X1: program] :
( ~ decides(algorithm_of(X0),X1,X2)
| outputs(X0,bad) )
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f131]) ).
tff(f131,plain,
( spl8_21
<=> ! [X2: input,X0: program,X1: program] :
( ~ decides(algorithm_of(X0),X1,X2)
| outputs(X0,bad) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
tff(f149,plain,
( ~ outputs(sK5,bad)
| ~ outputs(sK5,good)
| ~ spl8_12
| ~ spl8_16 ),
inference(resolution,[],[f92,f147]) ).
tff(f147,plain,
( ! [X0: program,X1: input] : halts3(sK5,X0,X1)
| ~ spl8_16 ),
inference(resolution,[],[f134,f115]) ).
tff(f134,plain,
! [X2: input,X3: program,X0: program,X1: program,X4: input] :
( ~ decides(algorithm_of(X0),X1,X2)
| halts3(X0,X3,X4) ),
inference(subsumption_resolution,[],[f40,f42]) ).
tff(f42,plain,
! [X2: input,X3: program,X0: program,X1: program,X4: input] :
( ~ decides(algorithm_of(X0),X1,X2)
| ~ halts2(X3,X4)
| halts3(X0,X3,X4) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: program,X1: program,X2: input] :
( ! [X3: program,X4: input] :
( ( ( outputs(X0,bad)
& halts3(X0,X3,X4) )
| halts2(X3,X4) )
& ( ( outputs(X0,good)
& halts3(X0,X3,X4) )
| ~ halts2(X3,X4) ) )
| ~ decides(algorithm_of(X0),X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: program,X1: program,X2: input] :
( decides(algorithm_of(X0),X1,X2)
=> ! [X3: program,X4: input] :
( ( ~ halts2(X3,X4)
=> ( outputs(X0,bad)
& halts3(X0,X3,X4) ) )
& ( halts2(X3,X4)
=> ( outputs(X0,good)
& halts3(X0,X3,X4) ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X3: program,X1: program,X2: input] :
( decides(algorithm_of(X3),X1,X2)
=> ! [X1: program,X2: input] :
( ( ~ halts2(X1,X2)
=> ( outputs(X3,bad)
& halts3(X3,X1,X2) ) )
& ( halts2(X1,X2)
=> ( outputs(X3,good)
& halts3(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f40,plain,
! [X2: input,X3: program,X0: program,X1: program,X4: input] :
( ~ decides(algorithm_of(X0),X1,X2)
| halts2(X3,X4)
| halts3(X0,X3,X4) ),
inference(cnf_transformation,[],[f16]) ).
tff(f92,plain,
( ! [X0: program] :
( ~ halts3(X0,sK4(X0),as_input(sK4(X0)))
| ~ outputs(X0,bad)
| ~ outputs(X0,good) )
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f91]) ).
tff(f91,plain,
( spl8_12
<=> ! [X0: program] :
( ~ outputs(X0,good)
| ~ outputs(X0,bad)
| ~ halts3(X0,sK4(X0),as_input(sK4(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
tff(f165,plain,
( outputs(sK5,good)
| ~ spl8_16
| ~ spl8_19 ),
inference(resolution,[],[f125,f115]) ).
tff(f125,plain,
( ! [X2: input,X0: program,X1: program] :
( ~ decides(algorithm_of(X0),X1,X2)
| outputs(X0,good) )
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f124]) ).
tff(f124,plain,
( spl8_19
<=> ! [X2: input,X0: program,X1: program] :
( ~ decides(algorithm_of(X0),X1,X2)
| outputs(X0,good) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
tff(f160,plain,
( ~ spl8_15
| ~ spl8_18 ),
inference(avatar_contradiction_clause,[],[f159]) ).
tff(f159,plain,
( $false
| ~ spl8_15
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f158,f122]) ).
tff(f122,plain,
( ! [X3: program,X4: input] : ~ halts2(X3,X4)
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f121,plain,
( spl8_18
<=> ! [X4: input,X3: program] : ~ halts2(X3,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
tff(f158,plain,
( ! [X3: program] : halts2(sK3,as_input(X3))
| ~ spl8_15
| ~ spl8_18 ),
inference(subsumption_resolution,[],[f107,f122]) ).
tff(f157,plain,
( ~ spl8_10
| ~ spl8_16
| ~ spl8_18
| ~ spl8_21 ),
inference(avatar_contradiction_clause,[],[f156]) ).
tff(f156,plain,
( $false
| ~ spl8_10
| ~ spl8_16
| ~ spl8_18
| ~ spl8_21 ),
inference(subsumption_resolution,[],[f155,f122]) ).
tff(f155,plain,
( halts2(sK4(sK5),as_input(sK4(sK5)))
| ~ spl8_10
| ~ spl8_16
| ~ spl8_21 ),
inference(subsumption_resolution,[],[f154,f146]) ).
tff(f154,plain,
( ~ outputs(sK5,bad)
| halts2(sK4(sK5),as_input(sK4(sK5)))
| ~ spl8_10
| ~ spl8_16 ),
inference(resolution,[],[f84,f147]) ).
tff(f84,plain,
( ! [X0: program] :
( ~ halts3(X0,sK4(X0),as_input(sK4(X0)))
| ~ outputs(X0,bad)
| halts2(sK4(X0),as_input(sK4(X0))) )
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f83,plain,
( spl8_10
<=> ! [X0: program] :
( halts2(sK4(X0),as_input(sK4(X0)))
| ~ outputs(X0,bad)
| ~ halts3(X0,sK4(X0),as_input(sK4(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
tff(f145,plain,
~ spl8_17,
inference(avatar_contradiction_clause,[],[f144]) ).
tff(f144,plain,
( $false
| ~ spl8_17 ),
inference(resolution,[],[f118,f17]) ).
tff(f17,plain,
! [X2: input,X1: program] : decides(sK0,X1,X2),
inference(cnf_transformation,[],[f8]) ).
tff(f8,plain,
? [X0: algorithm] :
! [X1: program,X2: input] : decides(X0,X1,X2),
inference(flattening,[],[f7]) ).
tff(f7,plain,
~ ~ ? [X0: algorithm] :
! [X1: program,X2: input] : decides(X0,X1,X2),
inference(rectify,[],[f6]) ).
tff(f6,negated_conjecture,
~ ~ ? [X6: algorithm] :
! [X7: program,X8: input] : decides(X6,X7,X8),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
~ ? [X6: algorithm] :
! [X7: program,X8: input] : decides(X6,X7,X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f118,plain,
( ! [X0: algorithm] : ~ decides(X0,sK6(X0),sK7(X0))
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f117,plain,
( spl8_17
<=> ! [X0: algorithm] : ~ decides(X0,sK6(X0),sK7(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
tff(f143,plain,
( ~ spl8_2
| ~ spl8_16
| ~ spl8_19
| ~ spl8_20 ),
inference(avatar_contradiction_clause,[],[f142]) ).
tff(f142,plain,
( $false
| ~ spl8_2
| ~ spl8_16
| ~ spl8_19
| ~ spl8_20 ),
inference(resolution,[],[f141,f115]) ).
tff(f141,plain,
( ! [X2: input,X0: program,X1: program] : ~ decides(algorithm_of(X0),X1,X2)
| ~ spl8_2
| ~ spl8_19
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f125,f140]) ).
tff(f140,plain,
( ! [X0: program] : ~ outputs(X0,good)
| ~ spl8_2
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f139,f129]) ).
tff(f129,plain,
( ! [X3: program,X4: input] : halts2(X3,X4)
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f128]) ).
tff(f128,plain,
( spl8_20
<=> ! [X4: input,X3: program] : halts2(X3,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
tff(f139,plain,
( ! [X0: program] :
( ~ halts2(sK2(X0),as_input(sK2(X0)))
| ~ outputs(X0,good) )
| ~ spl8_2
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f49,f129]) ).
tff(f136,plain,
( ~ spl8_18
| ~ spl8_20 ),
inference(avatar_contradiction_clause,[],[f135]) ).
tff(f135,plain,
( $false
| ~ spl8_18
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f122,f129]) ).
tff(f133,plain,
( spl8_20
| spl8_21 ),
inference(avatar_split_clause,[],[f41,f131,f128]) ).
tff(f41,plain,
! [X2: input,X3: program,X0: program,X1: program,X4: input] :
( ~ decides(algorithm_of(X0),X1,X2)
| halts2(X3,X4)
| outputs(X0,bad) ),
inference(cnf_transformation,[],[f16]) ).
tff(f126,plain,
( spl8_18
| spl8_19 ),
inference(avatar_split_clause,[],[f43,f124,f121]) ).
tff(f43,plain,
! [X2: input,X3: program,X0: program,X1: program,X4: input] :
( ~ decides(algorithm_of(X0),X1,X2)
| ~ halts2(X3,X4)
| outputs(X0,good) ),
inference(cnf_transformation,[],[f16]) ).
tff(f119,plain,
( spl8_16
| spl8_17 ),
inference(avatar_split_clause,[],[f39,f117,f114]) ).
tff(f39,plain,
! [X0: algorithm,X4: program,X5: input] :
( ~ decides(X0,sK6(X0),sK7(X0))
| decides(algorithm_of(sK5),X4,X5) ),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
( ? [X3: program] :
! [X4: program,X5: input] : decides(algorithm_of(X3),X4,X5)
| ! [X0: algorithm] :
? [X1: program,X2: input] : ~ decides(X0,X1,X2) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
( ? [X0: algorithm] :
! [X1: program,X2: input] : decides(X0,X1,X2)
=> ? [X3: program] :
! [X4: program,X5: input] : decides(algorithm_of(X3),X4,X5) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
( ? [X0: algorithm] :
! [X1: program,X2: input] : decides(X0,X1,X2)
=> ? [X3: program] :
! [X1: program,X2: input] : decides(algorithm_of(X3),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f110,plain,
( spl8_15
| spl8_12 ),
inference(avatar_split_clause,[],[f29,f91,f106]) ).
tff(f29,plain,
! [X3: program,X0: program] :
( ~ outputs(X0,good)
| ~ halts3(X0,sK4(X0),as_input(sK4(X0)))
| ~ outputs(X0,bad)
| halts2(X3,as_input(X3))
| halts2(sK3,as_input(X3)) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ? [X2: program] :
! [X3: program] :
( ( ( outputs(X2,bad)
& halts2(X2,as_input(X3)) )
| halts2(X3,as_input(X3)) )
& ( ( outputs(X2,good)
& halts2(X2,as_input(X3)) )
| ~ halts2(X3,as_input(X3)) ) )
| ! [X0: program] :
? [X1: program] :
( ( ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,as_input(X1)) )
& ~ halts2(X1,as_input(X1)) )
| ( ( ~ outputs(X0,good)
| ~ halts3(X0,X1,as_input(X1)) )
& halts2(X1,as_input(X1)) ) ) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
( ? [X0: program] :
! [X1: program] :
( ( ~ halts2(X1,as_input(X1))
=> ( outputs(X0,bad)
& halts3(X0,X1,as_input(X1)) ) )
& ( halts2(X1,as_input(X1))
=> ( outputs(X0,good)
& halts3(X0,X1,as_input(X1)) ) ) )
=> ? [X2: program] :
! [X3: program] :
( ( ~ halts2(X3,as_input(X3))
=> ( outputs(X2,bad)
& halts2(X2,as_input(X3)) ) )
& ( halts2(X3,as_input(X3))
=> ( outputs(X2,good)
& halts2(X2,as_input(X3)) ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
( ? [X3: program] :
! [X1: program] :
( ( ~ halts2(X1,as_input(X1))
=> ( outputs(X3,bad)
& halts3(X3,X1,as_input(X1)) ) )
& ( halts2(X1,as_input(X1))
=> ( outputs(X3,good)
& halts3(X3,X1,as_input(X1)) ) ) )
=> ? [X4: program] :
! [X1: program] :
( ( ~ halts2(X1,as_input(X1))
=> ( outputs(X4,bad)
& halts2(X4,as_input(X1)) ) )
& ( halts2(X1,as_input(X1))
=> ( outputs(X4,good)
& halts2(X4,as_input(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f109,plain,
( spl8_14
| spl8_6
| spl8_12 ),
inference(avatar_split_clause,[],[f30,f91,f64,f101]) ).
tff(f30,plain,
! [X3: program,X0: program] :
( ~ outputs(X0,good)
| ~ halts3(X0,sK4(X0),as_input(sK4(X0)))
| ~ outputs(X0,bad)
| halts2(X3,as_input(X3))
| outputs(sK3,bad) ),
inference(cnf_transformation,[],[f14]) ).
tff(f108,plain,
( spl8_15
| spl8_10 ),
inference(avatar_split_clause,[],[f31,f83,f106]) ).
tff(f31,plain,
! [X3: program,X0: program] :
( halts2(sK4(X0),as_input(sK4(X0)))
| ~ halts3(X0,sK4(X0),as_input(sK4(X0)))
| ~ outputs(X0,bad)
| halts2(X3,as_input(X3))
| halts2(sK3,as_input(X3)) ),
inference(cnf_transformation,[],[f14]) ).
tff(f94,plain,
( spl8_11
| spl8_12 ),
inference(avatar_split_clause,[],[f35,f91,f87]) ).
tff(f35,plain,
! [X3: program,X0: program] :
( ~ outputs(X0,good)
| ~ halts3(X0,sK4(X0),as_input(sK4(X0)))
| ~ outputs(X0,bad)
| ~ halts2(X3,as_input(X3))
| halts2(sK3,as_input(X3)) ),
inference(cnf_transformation,[],[f14]) ).
tff(f93,plain,
( spl8_8
| spl8_9
| spl8_12 ),
inference(avatar_split_clause,[],[f36,f91,f80,f76]) ).
tff(f36,plain,
! [X3: program,X0: program] :
( ~ outputs(X0,good)
| ~ halts3(X0,sK4(X0),as_input(sK4(X0)))
| ~ outputs(X0,bad)
| ~ halts2(X3,as_input(X3))
| outputs(sK3,good) ),
inference(cnf_transformation,[],[f14]) ).
tff(f74,plain,
( spl8_7
| spl8_2 ),
inference(avatar_split_clause,[],[f18,f48,f68]) ).
tff(f18,plain,
! [X3: program,X0: program] :
( ~ halts2(X0,as_input(sK2(X0)))
| ~ outputs(X0,good)
| ~ halts2(sK2(X0),as_input(sK2(X0)))
| halts2(X3,as_input(X3))
| halts2(sK1,as_input(X3)) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
( ? [X2: program] :
! [X3: program] :
( ( ( outputs(X2,bad)
& halts2(X2,as_input(X3)) )
| halts2(X3,as_input(X3)) )
& ( ~ halts2(X2,as_input(X3))
| ~ halts2(X3,as_input(X3)) ) )
| ! [X0: program] :
? [X1: program] :
( ( ( ~ outputs(X0,bad)
| ~ halts2(X0,as_input(X1)) )
& ~ halts2(X1,as_input(X1)) )
| ( ( ~ outputs(X0,good)
| ~ halts2(X0,as_input(X1)) )
& halts2(X1,as_input(X1)) ) ) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
( ? [X0: program] :
! [X1: program] :
( ( ~ halts2(X1,as_input(X1))
=> ( outputs(X0,bad)
& halts2(X0,as_input(X1)) ) )
& ( halts2(X1,as_input(X1))
=> ( outputs(X0,good)
& halts2(X0,as_input(X1)) ) ) )
=> ? [X2: program] :
! [X3: program] :
( ( ~ halts2(X3,as_input(X3))
=> ( outputs(X2,bad)
& halts2(X2,as_input(X3)) ) )
& ( halts2(X3,as_input(X3))
=> ~ halts2(X2,as_input(X3)) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
( ? [X4: program] :
! [X1: program] :
( ( ~ halts2(X1,as_input(X1))
=> ( outputs(X4,bad)
& halts2(X4,as_input(X1)) ) )
& ( halts2(X1,as_input(X1))
=> ( outputs(X4,good)
& halts2(X4,as_input(X1)) ) ) )
=> ? [X5: program] :
! [X1: program] :
( ( ~ halts2(X1,as_input(X1))
=> ( outputs(X5,bad)
& halts2(X5,as_input(X1)) ) )
& ( halts2(X1,as_input(X1))
=> ~ halts2(X5,as_input(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f72,plain,
( spl8_7
| spl8_3 ),
inference(avatar_split_clause,[],[f20,f52,f68]) ).
tff(f20,plain,
! [X3: program,X0: program] :
( ~ outputs(X0,good)
| ~ halts2(X0,as_input(sK2(X0)))
| ~ outputs(X0,bad)
| halts2(X3,as_input(X3))
| halts2(sK1,as_input(X3)) ),
inference(cnf_transformation,[],[f13]) ).
tff(f54,plain,
( spl8_1
| spl8_3 ),
inference(avatar_split_clause,[],[f25,f52,f45]) ).
tff(f25,plain,
! [X3: program,X0: program] :
( ~ outputs(X0,good)
| ~ halts2(X0,as_input(sK2(X0)))
| ~ outputs(X0,bad)
| ~ halts2(X3,as_input(X3))
| ~ halts2(sK1,as_input(X3)) ),
inference(cnf_transformation,[],[f13]) ).
tff(f50,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f26,f48,f45]) ).
tff(f26,plain,
! [X3: program,X0: program] :
( ~ halts2(X0,as_input(sK2(X0)))
| ~ outputs(X0,good)
| ~ halts2(sK2(X0),as_input(sK2(X0)))
| ~ halts2(X3,as_input(X3))
| ~ halts2(sK1,as_input(X3)) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM003_1 : TPTP v8.2.0. Released v5.0.0.
% 0.03/0.13 % Command : run_vampire %s %d SAT
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 00:14:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.22/0.36 This is a TF0_THM_NEQ_NAR problem
% 0.22/0.36 Running first-order model finding
% 0.22/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 % (29890)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29894)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.42 % (29890)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29897)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.42 % (29890)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29893)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.42 % (29890)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29891)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.42 % (29890)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29896)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.42 % (29890)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29895)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.42 % (29890)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (29892)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.43 % (29895)First to succeed.
% 0.22/0.43 % (29896)Also succeeded, but the first one will report.
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 % (29895)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29890"
% 0.22/0.43 % (29892)Also succeeded, but the first one will report.
% 0.22/0.43 TRYING [10]
% 0.22/0.43 % (29890)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29895)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (29895)------------------------------
% 0.22/0.43 % (29895)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43 % (29895)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43 % (29895)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (29895)Memory used [KB]: 812
% 0.22/0.43 % (29895)Time elapsed: 0.007 s
% 0.22/0.43 % (29895)Instructions burned: 8 (million)
% 0.22/0.43 % (29895)------------------------------
% 0.22/0.43 % (29895)------------------------------
% 0.22/0.43 % (29890)Success in time 0.066 s
%------------------------------------------------------------------------------